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Finding the Third Proportional to 48,229 and 100,154

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Solution

The third proportional to 48,229 and 100,154 is: 207,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,229 : 100,154 = 100,154 : x
  2. Step 2: Convert to fraction form
    48,229/100,154 = 100,154/x
  3. Step 3: Cross multiply
    48,229x = 100,154 × 100,154
  4. Step 4: Simplify right side
    48,229x = 10,030,823,716
  5. Step 5: Solve for x
    x = 10,030,823,716/48,229
  6. Step 6: Final answer
    x = 207,983.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.